# How do you graph #x+y=1# by plotting points?

##### 1 Answer

Nov 18, 2017

#### Explanation:

#"we only require 2 points to draw a straight line"#

#"one way is to find the points where the graph crosses"#

#"the x and y axes, called the intercepts"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercept"#

#x=0toy=0+y=1rArry=1larrcolor(red)"y-intercept"#

#y=0tox+0=1rArrx=1larrcolor(red)"x-intercept"#

#"plot the points "(0,1)" and "(1,0)#

#"and draw a straight line through them"#

graph{(y+x-1)((x+0)^2+(y-1)^2-0.05)((x-1)^2+(y-0)^2-0.05)=0 [-10, 10, -5, 5]}